A load is supplied by a 240 V, 50 Hz source. The active power P and the reactive power Q consumed by the load are such that 2 kW ≤ P ≤ 3 kW and 2 kVAR ≤ Q ≤ 4 kVAR. A capacitor connected across the load for power factor correction generates 1 kVAR. Which of the following is/are true?

1
The worst-case power factor after correction is 0.55 lagging
2
The best-case power factor of the given system after the correction is 0.95 lagging
3
The rating of extra capacitance needed to insert to get the unity power factor is 3 kVAR if the system is operating at worst-case power factor.
4
The rating of extra capacitance needed to insert to get the unity power factor is 1 kVAR if the system is operating at the best case power factor.

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